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Explore the mathematical connections between dimer models and tropical Lagrangian coamoebae in this advanced mathematics lecture delivered by Harold Williams from the University of Southern California at the Fields Institute. Delve into the intricate relationships between these two mathematical concepts, examining how dimer models—combinatorial structures used to study perfect matchings on planar graphs—relate to tropical Lagrangian coamoebae, which are geometric objects arising in tropical geometry and mirror symmetry. Gain insights into the theoretical foundations and applications of these mathematical frameworks, understanding their significance in contemporary geometric and algebraic research. Learn about the underlying mathematical structures, computational techniques, and theoretical implications that connect these seemingly disparate areas of mathematics. This presentation forms part of the Fields Institute's Geometry and Physics program, offering a deep dive into cutting-edge mathematical research at the intersection of combinatorics, tropical geometry, and mathematical physics.
